Question

The SI unit of momentum ....
O a) Newton
O b) M/s2
O c) kg.m/s
d) Ampere​

Answer 1

Answer:

Explanation:

kg.m/s

Answer 2

The correct option is:-

✹ Kg m/s (Option C)

Explanation:-

Momentum is the product of mass and velocity which we get from Newton's 2nd law of motion.

• Newton's 2nd law of motion states that rate of change of momentum is directly proportional to applied force and acts in the direction of force.
• So, By using this relation Let's derive the unit from units of other measures.

According to Newton's 2nd law,

$\large{ \longrightarrow{ \sf{f \propto \: \dfrac{p_f - p_i}{t} }}}$

$\large{ \longrightarrow{ \sf{f \propto \: \dfrac{ \triangle \: p}{t} }}}$

$\large{ \longrightarrow{ \sf{f = k\dfrac{ \triangle \: p}{t} }}}$

Here, k is the constant of proportionality and let assume it as 1, Then

$\large{ \longrightarrow{ \sf{f = \dfrac{ \triangle \: p}{t} }}}$

• Unit of force = N = Kg m/s²
• Unit of Time = s

$\large{ \longrightarrow{ \sf{ \triangle \: p = ft}}}$

$\large{ \longrightarrow{ \sf{ \triangle \: p(unit) = kg \: ms {}^{ - 2} \times s}}}$

$\large{ \longrightarrow{ \sf{ \triangle \: p(unit) = kg \: ms {}^{ - 1} }}}$

☀️ Hence, derived !!

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